Let her out of the lease today.
Don't ask upper management nor request a medical letter.
You don't have to do for all, each is on a case by case basis.
Go to the tenant, as a friend, tell her you feel the termination fee is unfair in this situation.
Ask if you can be of any other assistance such as a letter to her new apartment, etc.
Would you rather have a glowing referral or, worse, think of what she can write.
This is in her best interest, the company's best interest and your best interest.
Let us know the outcome.